(7xy%5E2).jpeg "(3xy)(7xy^2)")
Simplifying the Expression (3xy)(7xy^2)
In mathematics, simplifying expressions involves combining like terms and performing operations according to the order of operations. Let's break down the process of simplifying the expression (3xy)(7xy^2).
Understanding the Components
- Coefficients: The numbers 3 and 7 are the coefficients.
- Variables: The variables are x and y.
- Exponents: The exponents are 1 for the first 'x' and 'y', and 2 for the second 'y'.
Applying the Rules
- Multiplication of Coefficients: Multiply the coefficients together: 3 * 7 = 21.
- Multiplication of Variables: Multiply the variables together, remembering that when multiplying exponents with the same base, you add the powers.
- x * x = x^(1+1) = x^2
- y * y^2 = y^(1+2) = y^3
- Combining the Results: Combine the results from steps 1 and 2.
The Simplified Expression
Therefore, the simplified form of (3xy)(7xy^2) is 21x^2y^3.